1561401002304 has 672 divisors, whose sum is σ = 5492951493120. Its totient is φ = 433527552000.

The previous prime is 1561401002297. The next prime is 1561401002309. The reversal of 1561401002304 is 4032001041651.

It is a happy number.

1561401002304 is a `hidden beast` number, since 1 + 5 + 614 + 0 + 10 + 0 + 2 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561401002309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309124579 + ... + 309129629.

It is an arithmetic number, because the mean of its divisors is an integer number (8174034960).

Almost surely, 2^{1561401002304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561401002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746475746560).

1561401002304 is an abundant number, since it is smaller than the sum of its proper divisors (3931550490816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1561401002304 is a wasteful number, since it uses less digits than its factorization.

1561401002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1561401002304 its reverse (4032001041651), we get a palindrome (5593402043955).

The spelling of 1561401002304 in words is "one trillion, five hundred sixty-one billion, four hundred one million, two thousand, three hundred four".